Formulas, degrees and radians

Full circle in radians
$C=2 \times \pi$
Radians to degrees
$degrees=\frac{radians \times 180}{\pi}$
Degrees to radians
$radians=\frac{degrees \times \pi}{180}$
Degrees, minutes and seconds to decimal degrees
$decimal \" degrees=$
$degrees+\frac{minutes}{60}+\frac{seconds}{3600}$

Degrees and radians

Radian is the ratio between the length of an arc and the circles radius.

Radians for a complete circle are:
$C=2 \times \pi$
A circle has 360 degrees.

Converting from radians to degrees

Radians can be converted to degrees with the formula:
$degrees=\frac{radians \times 180}{\pi}$

Converting from degrees to radians

Degrees can be converted from radians to degrees with the formula:
$radians=\frac{degrees \times \pi}{180}$

Convert between degrees and radians

Converting degrees, minutes and seconds to decimal degrees

When using latitude and longitude the coordinates are often degrees, minues and seconds.
Those can be converted to decimal degrees with the formula:
$decimal \" degrees=degrees+\frac{minutes}{60}+\frac{seconds}{3600}$

Latest degrees radians conversions

1:	Convert 16,22532 radians to degrees	6 m
2:	Convert 1.45 radians to degrees	7 m
3:	Convert 10.8 degrees to radians	8 m
4:	Convert 45 degrees to radians	11 m
5:	Convert 27 degrees to radians	12 m
6:	Convert 42 degrees to radians	14 m
7:	Convert 5/6 radians to degrees	14 m
8:	Convert 163 degrees to radians	14 m
9:	Convert 90 degrees to radians	15 m
10:	Convert 115.868059827 degrees to radians	16 m
11:	Convert 119 degrees to radians	16 m
12:	Convert 0.6 radians to degrees	19 m
13:	Convert 120 degrees to radians	19 m
14:	Convert 1.87 radians to degrees	22 m
15:	Convert 8pi/9 radians to degrees	23 m
16:	Convert 0.25 radians to degrees	26 m
17:	Convert 2.5 degrees to radians	28 m
18:	Convert 0.7 radians to degrees	30 m
19:	Convert 3pi/4 radians to degrees	32 m
20:	Convert 128 degrees to radians	32 m
21:	Convert 0.785 radians to degrees	32 m
22:	Convert 12 degrees to radians	35 m
23:	Convert 20 degrees to radians	35 m
24:	Convert (7?)/6 radians to degrees	36 m
25:	Convert 0.64 radians to degrees	36 m
26:	Convert 59 degrees to radians	39 m
27:	Convert 150 degrees to radians	39 m
28:	Convert 20 degrees to radians	45 m
29:	Convert 155,7611 degrees to radians	45 m

Most popular degrees radians conversions

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7:	Convert 0.69813170079 RadDeg x! Inv sin ln ? cos log e tan ? Ans EXP xy ( ) % AC 7 8 9 ÷ 4 5 6 × 1 2 3 - 0 . = + radians to degrees
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13:	Convert 360 degrees to radians
14:	Convert 360 degrees to radians
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20:	Convert 18 degrees to radians
21:	Convert pi/6 radians to degrees
22:	Convert 325 degrees to radians
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24:	Convert 0.1 radians to degrees
25:	Convert 15 degrees to radians
26:	Convert Pi /9 radians to degrees
27:	Convert 3.14 radians to degrees
28:	Convert 1 degrees to radians
29:	Convert 150 degrees to radians
30:	Convert 144 degrees to radians